Geodesic
An arithmetic interpretation of a three-term identity from the theta functions theory
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 242-247.

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The article offers the proof of a three-term identity from the theta functions theory, based on Liouville's arithmetical methods. 
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M. D. Monina. An arithmetic interpretation of a three-term identity from the theta functions theory. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 242-247. http://geodesic.mathdoc.fr/item/DVMG_2014_14_2_a9/

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[2] J. V. Uspensky, M. A. Heaslet, Elementary Number Theory, McGraw-Hill Book Company, Inc., New York and London, 1939

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[4] Kenneth S. Williams, Number theory in the spirit of Liouville, London Mathematical Society Student Texts, 76, Cambridge University Press, 2011 | MR | Zbl

[5] N. V. Budarina, V. A. Bykovskii, “Arifmeticheskaya priroda tozhdesv dlya troinogo i pyatikratnogo proizvedenii”, Dalnevostochnyi matematicheskii zhurnal, 11:2 (2011), 140–148 | MR

[6] V. A. Bykovskii, M. D. Monina, “Arifmeticheskie tozhdestva, assotsiirovannye s kvadratichnymi formami, i ikh prilozheniya”, Doklady Akademii nauk, 449:5 (2013), 503–506 | DOI | MR | Zbl

[7] V. A. Bykovskii, M. D. Monina, “Ob arifmeticheskoi prirode nekotorykh tozhdestv teorii ellipticheskikh funktsii”, Dalnevostochnyi matematicheskii zhurnal, 13:1 (2013), 15–34 | MR | Zbl